Find the f and fy of f(x, y) 2x'y+ x sin y O If f(x, y) = x'y - xy, find + av O If v = sin- (2) + tan- (). find the value of x + y O If z = eax+by. f(ax - by), prove that b + a = 2abz. %3D Find all the first partial derivatives of: g(w, x, y, z) = x'e?w - wyz + 8x- 1

Q: Find the derivative of the function. 4 y = =sec² x sec² 5 O a) a) y'=sec² sec² xtanx

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Q: Use implicit partial differentiation to find at (-2,3,2) if x? +y +z = 2yz-6xy+1. %3D

A: The given function is: x2+y2+z2=2yz-6xy+1

Q: (b) u = Vt² + 2vt3 - 1 tan I (d) y = sec I VE-1 (f) y = VI+1

A: Since you have asked multiple subpart, as per our guidelines we are supposed to answer only first 3…

Q: Get the partial derivatives δω θω дх’ ду δω given that Əz w = Arc sin (x² + y) — tan 2z + 1 and

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Q: Find the directional derivative of f (x, y) = tan at P(-2,2) in the %3D direction of a = -i- j.

A: The function given is f(x,y)=tan-1yx. The directional derivative is to be found at (-2,2) along the…

Q: Find the partial derivative for the function a. b. Əz C. əz O2 = -5y² sin(x² + y²) e. d. əz dy +-5y6…

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Q: The second partial derivative 2) {(**3)= e In y ė In g %3D 2, 2 In -a)+(9-b)

A: We have to find the second partial derivative of the given functions.please see the explanation…

Q: Find the second partial derivatives of f(x,y) = x^2y^5 + 3y^2

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Q: Find all the first and second order derivatives of the function f(x, y) = x³ ln(y) + xy + x³y² + 4x…

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Q: Calculate the partial derivatives and using implicit differentiation of (TU — V)² In (W – UV) = ln…

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Q: Find the derivative of r1(t) = and r2(t) = A) find dr/dt of r1(t) B) find dr/dt of r2(t) C)…

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